Rashon has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $481.28.
He buys 3 bicycle reflectors for $10.78 each and a pair of bike gloves for $32.64.
He plans to spend some or all of the money he has left to buy new biking outfits for $44.95 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Rashon can purchase while staying within his budget.

We can set up an inequality to model Rashon's budget and the number of biking outfits he can buy.

### Step 1: Calculate the total spent so far
- Price of the bicycle: \$481.28
- Price of 3 bicycle reflectors: $3 \times 10.78 = 32.34$
- Price of the bike gloves: \$32.64

So, the total amount Rashon has already spent is:
\[
481.28 + 32.34 + 32.64 = 546.26
\]

### Step 2: Define the remaining money
Rashon has \$780 total, so the amount of money left after his initial purchases is:
\[
780 - 546.26 = 233.74
\]

### Step 3: Write the inequality for the number of outfits
Let $ o $ represent the number of biking outfits Rashon can buy. Each outfit costs \$44.95, so the total cost for $ o $ outfits is $ 44.95o $. The inequality for staying within the budget can be written as:
\[
44.95o \leq 233.74
\]

### Step 4: Solve the inequality
To find the maximum number of outfits, divide both sides by 44.95:
\[
o \leq \frac{233.74}{44.95} \approx 5.2
\]

Since the number of outfits must be a whole number, Rashon can purchase at most **5 outfits**.

### Final Answer:
Rashon can buy up to 5 biking outfits while staying within his budget.

Would you like any further details or clarifications?

### Related Questions:
1. What if the bike gloves were on sale for \$25? How many outfits could Rashon buy then?
2. If the price of each biking outfit increased by 10%, how many outfits could he afford?
3. How much money would Rashon have left after buying 3 outfits?
4. What if Rashon had a budget of \$1000? How would this affect the number of outfits he could buy?
5. If he buys 4 outfits, how much total has he spent at the store?

**Tip:** Always double-check your calculations to ensure all purchases and expenses align with the budget!

Rashon has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $481.28. He buys 3 bicycle reflectors for $10.78 each and a pair of bike gloves for $32.64. He plans to spend some or all of the money he has left to buy new biking outfits for $44.95 each. Write and solve an inequality which can be used to determine o, the number of outfits Rashon can purchase while staying within his budget.

Learn how to solve an inequality to determine how many biking outfits Rashon can buy while staying within his $780 budget. This problem involves basic arithmetic, inequalities, and budgeting concepts. Perfect for students in Grades 6-8.

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